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Simplifying -23 = 3w + 9 + -11w Reorder the terms: -23 = 9 + 3w + -11w Combine like terms: 3w + -11w = -8w -23 = 9 + -8w Solving -23 = 9 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -23 + 8w = 9 + -8w + 8w Combine like terms: -8w + 8w = 0 -23 + 8w = 9 + 0 -23 + 8w = 9 Add '23' to each side of the equation. -23 + 23 + 8w = 9 + 23 Combine like terms: -23 + 23 = 0 0 + 8w = 9 + 23 8w = 9 + 23 Combine like terms: 9 + 23 = 32 8w = 32 Divide each side by '8'. w = 4 Simplifying w = 4
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